A parametric amplifier having a tunable, dual-frequency pumping signal and a controlled cubic stiffness term is realized and investigated experimentally. This device can be tuned to amplify a desired, single frequency weak signal, well below resonance. The transition between a previously described theoretical model and a working prototype requires an additional effort in several areas: modeling, design, calibration, identification, verification, and adjustment of the theoretical model. The present paper describes these necessary steps and analyzes the results. Tunability is achieved here by adding a digitally controlled feedback, driving a linear mechanical oscillator with an electromechanical actuator. The main advantage of the present approach stems from the separation of the controlled parametric and nonlinear feedback terms which are linked to the resonating element. This separation allows for the realization of feedback in an electronic form where a digital implementation adds further advantages as the feedback coefficients can be tuned in situ. This arrangement benefits from the mechanical resonance of a structure and from the ability to set the parametric excitation such that it accommodates sinusoidal input signals over a wide range of frequencies. The importance of an in situ identification phase is made clear in this work, as the precise setting of model and feedback parameters was shown to be crucial for successful application of the amplifier. A detailed model-identification effort is described throughout this paper. It has been shown through identification that the approach is robust despite some modeling uncertainties and imperfections.
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December 2016
Research-Article
Experimental and Numerical Validation of Digital, Electromechanical, Parametrically Excited Amplifiers
Amit Dolev,
Amit Dolev
Dynamics Laboratory,
Mechanical Engineering,
Technion,
Technion City, Haifa 3200003, Israel
e-mail: amitdtechnion@gmail.com
Mechanical Engineering,
Technion,
Technion City, Haifa 3200003, Israel
e-mail: amitdtechnion@gmail.com
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Izhak Bucher
Izhak Bucher
Dynamics Laboratory,
Mechanical Engineering,
Technion,
Technion City, Haifa 3200003, Israel
e-mail: bucher@technion.ac.il
Mechanical Engineering,
Technion,
Technion City, Haifa 3200003, Israel
e-mail: bucher@technion.ac.il
Search for other works by this author on:
Amit Dolev
Dynamics Laboratory,
Mechanical Engineering,
Technion,
Technion City, Haifa 3200003, Israel
e-mail: amitdtechnion@gmail.com
Mechanical Engineering,
Technion,
Technion City, Haifa 3200003, Israel
e-mail: amitdtechnion@gmail.com
Izhak Bucher
Dynamics Laboratory,
Mechanical Engineering,
Technion,
Technion City, Haifa 3200003, Israel
e-mail: bucher@technion.ac.il
Mechanical Engineering,
Technion,
Technion City, Haifa 3200003, Israel
e-mail: bucher@technion.ac.il
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 11, 2015; final manuscript received June 5, 2016; published online July 19, 2016. Assoc. Editor: Jeffrey F. Rhoads.
J. Vib. Acoust. Dec 2016, 138(6): 061001 (14 pages)
Published Online: July 19, 2016
Article history
Received:
November 11, 2015
Revised:
June 5, 2016
Citation
Dolev, A., and Bucher, I. (July 19, 2016). "Experimental and Numerical Validation of Digital, Electromechanical, Parametrically Excited Amplifiers." ASME. J. Vib. Acoust. December 2016; 138(6): 061001. https://doi.org/10.1115/1.4033897
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